The tech ed teacher needs to cut boards for the 6th grade propeller project that are 3/4 feet long. how many propellers can he get out of a board that is 1/2 feet long.

  zero

Step-by-step explanation:

1/2 feet is less than 3/4 feet, so is insufficient length for even one propeller. No propellers can be cut from the board.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: